Atkin-Lehner |
3- 5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185bg |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1232896 |
Modular degree for the optimal curve |
Δ |
29443880277773325 = 314 · 52 · 77 · 13 · 23 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-87447,-5559705] |
[a1,a2,a3,a4,a6] |
Generators |
[-1646:15431:8] |
Generators of the group modulo torsion |
j |
101445065912111104/40389410531925 |
j-invariant |
L |
15.310629254242 |
L(r)(E,1)/r! |
Ω |
0.28732491518206 |
Real period |
R |
1.903100491091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31395p1 |
Quadratic twists by: -3 |